Your daughter is receiving legacy ESA, this is a single benefit with two components, an Income Related one and a Contribution Based one, it is not two separate benefits.
So, your daughter will be migrated to UC and New Style ESA, her award at the time of migration will be moved over.
As to when she is to be migrated, if she is only receiving legacy ESA or legacy ESA with Housing Benefit then we are not currently expecting them to be migrated before 2028.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems
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